What is the solution of the equation 5/3−2x=1/6 ?

Answer 1

To find the solution for the equation 5/3 - 2x = 1/6, we will isolate the variable x.

First, let's simplify both sides of the equation by finding a common denominator:

5/3 - 2x = 1/6

Multiplying the right-hand side by 3/3 to obtain a common denominator:

5/3 - 2x = 1/6 * 3/3

This simplifies to:

5/3 - 2x = 3/18

Next, let's express both fractions with the same denominator:

5/3 - 2x = 1/6

Multiplying the left-hand side by 6/6 and the right-hand side by 3/3 gives:

(5/3) * (6/6) - 2x = (1/6) * (3/3)

This simplifies to:

30/18 - 2x = 3/18

Now, let's combine like terms on the left-hand side:

30/18 - 2x = 3/18

30/18 - 3/18 = 2x

27/18 = 2x

Next, let's divide both sides of the equation by 2 to solve for x:

(27/18) / 2 = x

(27/18) * (1/2) = x

(27 * 1) / (18 * 2) = x

27/36 = x

Finally, we can simplify the fraction:

(3 * 3 * 3) / (3 * 2 * 2) = x

27/36 = x

x = 3/4 or 0.75

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4 or 0.75.